Chapter 2: Q. 106 (page 229)

In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.
$- \frac{1}{3} q = - \frac{5}{6}$

Short Answer

Expert verified

On solving, we get $q = \frac{5}{2} .$

Step by step solution

Step 1. Given information

$\begin{array}{l} Thegivenequationis - \frac{1}{3} q = - \frac{5}{6} . \\ Wehavetosolvethegivenequationandthenverifytheresult. \end{array}$

Step 2. Simplify

$\begin{array}{l} Now, \\ \Rightarrow - \frac{1}{3} q = - \frac{5}{6} \\ \Rightarrow - \frac{3}{1} \times (- \frac{1}{3} q) = - \frac{3}{1} \times (- \frac{5}{6}) [Multiplybothsidesbyreciprocalof - \frac{1}{3}] \\ \Rightarrow q = \frac{5}{2} \end{array}$

Step 3. Checking the result

$\begin{array}{l} Wehave, \\ \Rightarrow - \frac{1}{3} q = - \frac{5}{6} \\ \Rightarrow - \frac{1}{3} (\frac{5}{2}) = - \frac{5}{6} [Substitute q = \frac{5}{2}] \\ \Rightarrow - \frac{5}{6} = - \frac{5}{6} \\ L.H.S = R.H.S \\ Henceverified. \end{array}$

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In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.
$- \frac{1}{3} q = - \frac{5}{6}$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

Step 3. Checking the result

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In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.−13q=−56

Short Answer

Step by step solution

Step 1. Given information

Step 2. Simplify

Step 3. Checking the result

One App. One Place for Learning.

Most popular questions from this chapter

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In the following exercise, solve each equation using the Division and Multiplication Properties of Equality and check the solution.
$- \frac{1}{3} q = - \frac{5}{6}$